3 years ago

Which of the following statements would complete the proof

Mathematics

1 answer:

attashe74 [19]3 years ago

5 0

They are alternate exterior angles, so A.

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19. Given that the lines are parallel, what angle is congruent to angle 6?

nikklg [1K]

It is C bc it is on the opposite side and on the outside

6 0

3 years ago

Find the distance between a and b. a = 9.21, b = –5.51

cricket20 [7]

9.21 - (-5.51)
9.21 + 5.51 = 14.72
The distance is 14.72

5 0

3 years ago

Read 2 more answers

1. Find the phase shift of the function y = 5cos(2x + pi/2).

kolezko [41]

Answer:

see explanation

Step-by-step explanation:

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = $\frac{2\pi }{b}$ and

phase shift = - $\frac{c}{b}$

here b = 2 and c = $\frac{\pi }{2}$ , thus

phase shift = - $\frac{\frac{\pi }{2} }{2}$ = - $\frac{\pi }{4}$

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

5 0

3 years ago

Find the slope of the line that passes through the points (-3, 2) (5, 4).

Keith_Richards [23]

Answer: 1/4

Hope this helps : )

8 0

3 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x. 500(1.075)120x = 100.000

Volgvan

Answer:

The solution is:

$x = 0.61$

Step-by-step explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

$500(1.075)^{120x} = 100000$

$(1.075)^{120x} = \frac{100000}{500}$

$(1.075)^{120x} = 200$

To find x, we have to apply log to both sides of the equality.

We also have that:

$\log{a^{x}} = x\log{a}$

$\log{(1.075)^{120x}} = \log{200}$

$120x\log{1.075} = 2.30$

$120x*0.03 = 2.30$

$3.77x = 2.30$

$x = \frac{2.30}{3.77}$

$x = 0.61$

4 0

3 years ago